English pdf version - Dipartimento di Matematica

Domenico Fiorenza, curriculum vitæ et studiorum
Current position:
Ricercatore universitario (Assistant professor) MAT/03 - Geometria (Geometry), Facolt`
a di Scienze Matematiche Fisiche e Naturali, Sapienza, Universit`a
di Roma. (Faculty of Mathematical, Physical and Natural Sciences, University
of Rome, Sapienza). Since 1 January 2005.
Academic titles:
Master degree in Mathematics, 16 July 1996, Sapienza University of Rome.
PhD in Mathematics, 11 December 2002, university of Pisa. PhD thesis: Moduli
spaces, Feynman diagrams and the KdV hierarchy. Advisor: Enrico Arbarello.
PostDoc positions:
University of Rome Tor Vergata, 2001-2002; University of Rome Sapienza, 20032004.
Visiting Professor positions:
Institute des Hautes Etudes Scientifiques, Bures-sur-Yvette, February 2005.
Max Planck Institute f¨
ur Mathematik, April 2013.
Publications:
1. L∞ -algebras of local observables from higher prequantum bundles (with
Christopher L. Rogers and Urs Schreiber), Homology, Homotopy and Applications (to appear).
2. Multiple M5-branes, String 2-connections, and 7d nonabelian Chern-Simons
theory (with Hisham Sati and Urs Schreiber), Advances in Theoretical and
Mathematical Physics (to appear).
3. A higher stacky perspective on Chern-Simons theory (with Hisham Sati
and Urs Schreiber), in Mathematical Aspects of Quantum Field Theories
(Damien Calaque and Thomas Strobl Eds.), Springer (to appear).
4. Extended higher cup-product Chern-Simons theories (with Hisham Sati
and Urs Schreiber), Journal of Geometry and Physics, Volume 74 (2013),
130-163.
5. A higher Chern-Weil derivation of AKSZ sigma-models (with Chris Rogers
and Urs Schreiber), International Journal of Geometric Methods in Modern Physics Vol. 10, No. 1 (2013) 1250078 (36 pages).
6. Formality of Koszul brackets and deformations of holomorphic Poisson
manifolds (with Marco Manetti), Homology, Homotopy and Applications,
Volume 14, No. 2 (2012), 63-75.
7. Cech cocycles for differential characteristic classes An ∞-Lie theoretic
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construction (with Urs Schreiber and Jim Stasheff), Advances in Theoretical and Mathematical Physics, Vol. 16, No. 1 (2012), 149-250.
8. A short note on ∞-groupoids and the period map for projective manifolds
(with Elena Martinengo), Publications of the nLab, Volume 2, no.1 (2012),
pp. 1-13.
9. Cosimplicial DGLAs in deformation theory (with Marco Manetti and
Elena Martinengo), Communications in Algebra Volume 40, Issue 6 (2012),
2243-2260.
10. Differential graded Lie algebras controlling infinitesimal deformations of
coherent sheaves, con Donatella Iacono ed Elena Martinengo, JEMS, Volume 14, Issue 2, 2012, pp. 521-540.
11. A period map for generalized deformations (with Marco Manetti), Journal
of Noncommutative Geometry, Vol. 3, No. 4 (2009), 579-597.
12. L-structures on mapping cones, con Marco Manetti, Algebra & Number
Theory, Vol 1, No. 3 (2007), 301-330.
13. Sums over graphs and integration over discrete groupoids, Applied Categorical Structures, Vol. 14, No. 4 (2006), 313-350.
14. Graded Poisson algebras (with Alberto S. Cattaneo and Riccardo Longoni), Encyclopedia of Mathematical Physics, J.-P. Naber and G. Sheung
Tsun Tsou Eds., Academic Press-Elsevier (2006), 560-567.
15. Graph complexes in deformation quantization (with Lucian M. Ionescu),
Letters in Mathematical Physics, Vol 73, No. 3 (2005), 193-208.
16. On the Hochschild-Kostant-Rosenberg map for graded manifolds (with
Alberto S. Cattaneo and Riccardo Longoni), International Mathematics
Research Notices 2005:62 (2005) 3899-3918.
17. An introduction to the Batalin-Vilkovisky formalism, Comptes Rendus
des Rencontres Mathematiques de Glanon, Edition 2003.
18. Associative algebras, punctured disks and the quantization of Poisson
manifolds (with Riccardo Longoni), Proceedings of Fifth International
Conference Symmetry in Nonlinear Mathematical Physics, Kiev (Ukraine),
part 2, Volume 50 of Proceedings of Institute of Mathematics on NAS
of Ukraine, Editors A.G. Nikitin, V.M. Boyko, R.O. Popovych and I.A.
Yehorchenko, Kyiv, Institute of Mathematics (2004), 729-736.
19. Matrix integrals and Feynman diagrams in the Kontsevich model (with
Riccardo Murri), Advances in Theoretical and Mathematical Physics, Vol.
7, No. 3 (2003) 525-576.
20. Feynman diagrams via graphical calculus (with Riccardo Murri), Journal
of Knot Theory and Its Ramifications, Vol. 11, No. 7 (2002) 1095-1131.
Popularizations:
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1. Secret life of pairs of points, Atomium Culture (Mathematics), 2012.
2. Il dilemma del rigorista, Archimede, 3 (2010), 124-128. (in Italian)
Preprints:
1. Super Lie n-algebra extensions, higher WZW models, and super p-branes
with tensor multiplet fields (with Hisham Sati and Urs Schreiber), arXiv:1308.5264
2. Higher geometric prequantum theory (with Christopher L. Rogers and Urs
Schreiber), arXiv:1304.0236
3. The E8 moduli 3-stack of the C-field in M-theory (with Hisham Sati and
Urs Schreiber), arXiv:1202.2455
Referee for:
• NSA Mathematical Sciences Grants Program
• Communications in Mathematical Physics,
• Journal of Geometry and Physics,
• Mathematische Zeitschrift,
• Letters in Mathematical Physics,
• International Journal of Geometric Methods in Modern Physics,
• Differential Geometry and its Applications,
• Reports on Mathematical Physics,
• SIGMA (Symmetry, Integrability and Geometry: Methods and Applications).
Reviewer for:
• Mathematical Reviews,
• Zentralblatt MATH.
Selected addresses:
In conferences and workshops:
1. Higher Structures in Algebraic Analysis, Padova, 2014
2. GAP XI, Pittsburgh, 2013
3. Quantization, topological models and generalized geometries, Bayrischzell,
2013
4. Incontri di geometria noncommutativa - A Neapolitan Workshop on Noncommutative Geometry, Napoli, 2012
5. CATS3, Centro di Ricerca Matematica Ennio De Giorgi, Pisa, 2008.
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6. Algebraic Structures in Geometry and Physics, Leicester, 2008.
7. Geometria e Fisica, Universit`a di Milano, 2007.
8. Rencontres mathematiques de Glanon, Glanon, 2003.
9. Symmetry in Nonlinear Mathematical Physics, Kiev, 2003.
10. First Joint Meeting AMS-UMI, special session Quantum Cohomology and
Moduli Spaces, Pisa, 2002.
In Universities and Research Institutes:
1. SISSA, Trieste, 2014.
2. Department Colloquium, G¨ottingen, 2014.
3. Higher Differential Geometry Seminar, MPIM, Bonn, 2013.
4. Talks in Mathematical Physics, ETH, Zurich, 2012.
5. Quarterly Seminar on Topology and Geometry, Universiteit Utrecht, 2011.
PhD students:
1. Riccardo Murri, Scuola Normale Superiore, Pisa, 2013; co-advised with
Enrico Arbarello
2. Fabio Trova, University of Rome Tor Vergata (2015?)
3. Fosco Loregian, SISSA, Trieste (2015?)
4. Matteo Braghiroli, University of Rome Sapienza (2016?)
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